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Let E denote the event that the person selected is actually having COVID and A the event that the person's COVID test is diagnosed as +ive. We need to find P(E|A). Also, E’ denotes the event that the person selected is actually not having COVID. Clearly, {E, E'} is a partition of the sample space of all people in the population. We are given that P(E) = 0.1% = 0.1/100 = 0.001 P(E') = 1 – P(E) = 0.999 P(A|E) = P(Person tested as COVID+ive given that he/she is actually having COVID) = 90% = 90/100 = 0.9 and P(A|E') = P(Person tested as COVID +ive given that he/she is actually not having COVID) = 1% = 1/100 = 0.01 Now, by Bayes' theorem P(E|A) = [P(E) × P(A|E)]/[P(E) × P(A|E) + P(E') × P(A|E')] = [0.001 × 0.9]/[0.001 × 0.9 + 0.999 × 0.01] = 90/1089 = 0.083 approx.
The major maize producing districts in Rajasthan are -
Which earthquake measuring scale is based on Earth's rigidity and the amount and area of slip on the fault?
Which of the following is not correctly matched?
Norman Borlaug was given Nobel Prize in which field?
Which of the following pairs of State and formation year is/are correct?
I. Nagaland - 1972
II. Uttarakhand - 2000
III. Arunachal Pradesh - 1987
A. his subjects wisely
B. was a very kind and generous
C. king who looked after
D. everyone said that he
Where has the Constitution Park been inaugurated in Rajasthan by President Draupadi Murmu?
Which blood cells are called 'Soldiers' of the body?
What is the range of the intensity scale used in measuring earthquakes?